What is the area of the polygon? 16cm 6cm 5cm 4cm 7cm 7cm
To find the area of the polygon, we can divide it into two triangles by drawing a diagonal from one of the vertices. We can then find the area of each triangle using the formula for the area of a triangle:
Area of triangle = 1/2 * base * height
For the first triangle, we can take the base as 6 cm and the height as 4 cm:
Area of first triangle = 1/2 * 6 cm * 4 cm = 12 cm^2
For the second triangle, we can take the base as 7 cm and the height as 5 cm:
Area of second triangle = 1/2 * 7 cm * 5 cm = 17.5 cm^2
Therefore, the total area of the polygon is the sum of the areas of the two triangles:
Total area = 12 cm^2 + 17.5 cm^2 = 29.5 cm^2
So, the area of the polygon is 29.5 cm^2.